{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 黑色系主成分套利分析\n",
    "\n",
    ">黑色系合约 : 螺纹，铁矿石，热卷，焦炭\n",
    "\n",
    ">分析时间   : 最近3年\n",
    "\n",
    ">原理和目标 : 利用主成分分析，用于找出协整残差项，利用残差项的均值回归特性，在残差大幅度偏离均值时进场，在残差回归均值时出场"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 导入需要用到的库和函数\n",
    "\n",
    ">sklearn PCA库没有给出具体的主成分向量，所以需要自己编写部分函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "from datetime import datetime,timedelta\n",
    "from vtFunction import *\n",
    "from ctaBase import *\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "class handleRet(object):\n",
    "\n",
    "    def __init__(self,portfolio,date,period = u''):\n",
    "        ####the input of the portfolio\n",
    "        self.ptf = [index for index in portfolio]\n",
    "        self.period = period\n",
    "        \n",
    "        ####the output of  the portfolio\n",
    "        self.currDate = date\n",
    "        self.e = np.ones((len(portfolio),1))\n",
    "        self.exsRet = self.exsRet(self.period)\n",
    "        self.retMat = self.retMat()\n",
    "        self.retCov = self.retCov()\n",
    "        \n",
    "    def exsRet(self,period):\n",
    "        if period == u'':\n",
    "            if self.period == u'':\n",
    "                period = 100\n",
    "            else:\n",
    "                period = self.period\n",
    "                \n",
    "        fields = ['datetime','open','close']        \n",
    "        endDate = self.currDate.strftime(\"%Y%m%d\")\n",
    "        beginDate = self.currDate - timedelta(days=period)\n",
    "        beginDate = beginDate.strftime(\"%Y%m%d\")\n",
    "        ticker = [index for index in self.ptf]\n",
    "        \n",
    "        pdData = {index:loadHistoryData(DAILY_DB_NAME,index,beginDate,endDate,fields) for index in ticker}\n",
    "        exsRet = {}\n",
    "        for index in ticker:\n",
    "            # print pdData[pdData.ticker==index]['closePrice']\n",
    "            pdData[index]['preclose'] = pdData[index]['close'].shift(1)\n",
    "            pdData[index] = pdData[index].dropna(axis=0, how='any')\n",
    "            exsRet[index] = (pdData[index]['close'] - pdData[index]['preclose'])/pdData[index]['close'].mean()\n",
    "        return exsRet\n",
    "    \n",
    "    def retMat(self):\n",
    "        ticker = sorted(self.exsRet.keys(),key = lambda x:x)\n",
    "        # print ticker\n",
    "        tmpList = []\n",
    "        for index in ticker:\n",
    "            tmpList.append(self.exsRet[index].tolist())\n",
    "        return np.mat(tmpList)\n",
    "        pass\n",
    "    \n",
    "    def retCov(self):\n",
    "        try:\n",
    "            return np.mat(np.cov(self.retMat))\n",
    "        except Exception,e:\n",
    "            pass\n",
    "            # print 'The retCov of is unavailable, please change your period!'\n",
    "\n",
    "def meanX(dataX):\n",
    "    return np.mean(dataX,axis=0)#axis=0表示按照列来求均值，如果输入list,则axis=1\n",
    "\n",
    "def pca(XMat, k):\n",
    "    \"\"\"\n",
    "    参数：\n",
    "        - XMat：传入的是一个numpy的矩阵格式，行表示样本数，列表示特征    \n",
    "        - k：表示取前k个特征值对应的特征向量\n",
    "    返回值：\n",
    "        - finalData：参数一指的是返回的低维矩阵，对应于输入参数二\n",
    "        - reconData：参数二对应的是移动坐标轴后的矩阵\n",
    "    \"\"\"\n",
    "    average = meanX(XMat) \n",
    "    m, n = np.shape(XMat)\n",
    "    data_adjust = []\n",
    "    avgs = np.tile(average, (m, 1))\n",
    "    data_adjust = XMat - avgs\n",
    "    covX = np.cov(data_adjust.T)   #计算协方差矩阵\n",
    "    featValue, featVec=  np.linalg.eig(covX)  #求解协方差矩阵的特征值和特征向量\n",
    "    index = np.argsort(-featValue) #按照featValue进行从大到小排序\n",
    "    finalData = []\n",
    "    if k > n:\n",
    "        print \"k must lower than feature number\"\n",
    "        return\n",
    "    else:\n",
    "        #注意特征向量时列向量，而numpy的二维矩阵(数组)a[m][n]中，a[1]表示第1行值\n",
    "        selectVec = np.matrix(featVec.T[index[:k]]) #所以这里需要进行转置\n",
    "        finalData = data_adjust * selectVec.T \n",
    "        reconData = (finalData * selectVec) + average  \n",
    "    return index[:k], selectVec"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. 分析3阶主成分的解释能力和相关性\n",
    ">从结果可以看到，3阶主成分已经具有足够的解释能力"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3阶主成分方差解释比例：\n",
      "0.971356674313\n",
      "\n",
      "\n",
      "3阶主成分方差权重分配：\n",
      "[ 0.75987851  0.13441161  0.07706655]\n",
      "\n",
      "\n",
      "第一主成分与第二主成分之间的相关系数为: -1.06624568518e-16\n",
      "\n",
      "\n",
      "3阶主成分特征向量图\n"
     ]
    },
    {
     "data": {
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BwRnKdqn5xl2gXsCgJBeNlAvXc+uSC8sKvfj3vhf+4i+in8/NAb/2ZabjD0VU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\nqP8HNVcF0ALqPcMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b456d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "####合约池、测试日期\n",
    "universe = ['RB0000','J0000','I0000','HC0000']\n",
    "currDate = datetime.now() - timedelta(days=300)\n",
    "\n",
    "####收益率矩阵获取\n",
    "retData = handleRet(universe,currDate,period = 600)\n",
    "retmat = retData.retMat.T\n",
    "\n",
    "####对收益率矩阵做3阶PCA拟合\n",
    "pca0 = PCA(n_components = 3)\n",
    "pcaFitData = pca0.fit_transform(retmat)\n",
    "\n",
    "####PCA分析结果\n",
    "print '3阶主成分方差解释比例：\\n' + str(np.sum(pca0.explained_variance_ratio_))\n",
    "print '\\n'\n",
    "print '3阶主成分方差权重分配：\\n' + str(pca0.explained_variance_ratio_)\n",
    "# for index in np.shape(pca.explained_variance_ratio_)[1]\n",
    "print '\\n'\n",
    "print '第一主成分与第二主成分之间的相关系数为: ' + str(np.corrcoef(pcaFitData[:,0],pcaFitData[:,1])[0,-1])\n",
    "print '\\n'\n",
    "print '3阶主成分特征向量图'\n",
    "plt.close()\n",
    "for index in range(np.shape(pcaFitData)[1]):\n",
    "    plt.plot(pcaFitData[:,index])\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. 使用3阶主成分表示螺纹主力合约每日收益\n",
    ">3阶主成分很好地解释了螺纹主力的每日收益"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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x1cN7L+Muxkjqa4PEqnQmH/plho7/Us46LyyyIAjRzhYYnj2jr2VZaP0gLlRC\nZwWhuzOCpnPjYrsST1wMRFjEERVqKKqiHFiOIHZHPOXg5jep801RIXhTIBT5HEgEJDXS9glkgXu0\n4Txbou3bc5ZZUomLQY+ednIb8iTd7ErSbs7FgDgXjrhQo0UUZcDCvmu653AOacclrLAkasWeizcF\nQpEOdiIgqbUccVHgPDYccR2N5YYwLWkhct7deZS4qCBSrnNRYeLCbc9AigtV50JRDjxxUci5UOJC\nUWG4I+aKeg5ISSIENbjORX4LwnMuYrnzVlnSROsHeaHERQXhhUUqNOfCKnDilhNDOReKMuKeswUt\nZhUWUVQYhicuingOGAaJINQSAgqHRXTLfrZ0xFpylvVXQqcSFxVEpToXabddA+lcqIRORRlQzoVi\nd6MU58JMJdGDUEMYAFlAJLt5HNFE7oTl/TUUVYmLCsJVlxWb0En/OxdpR8Ao50JRDlxxUfBGrcSF\nosLwCgkW4Vwk4h0A1AhHXBRM6HTERbw9Z5md0KnCIoMavUJnBN0VORdqtIiiHPSW0NkoOrl3Cios\noqgYDFl8WCSRjAFQo0WAHsSFs89oqiNnmUro3ANIueKiwnIu0rvAuRiIYa+KwU8mLJLfuXiqYSvf\nn4FyLhQVQylhkUSyE/CJiwIi2e24RlOxnGXKudgD0KUrLiosLOK0xxoA58LwwiLqZq/Yebw6FwWu\nKV2mkQJkurIEvWLPxcs7K8a5SNhioVazy3oXzLlwBEuHkV9cKOdikKOXkiU8gKiciwrnb3+Dn/xk\nV7eiInHPonQBcZGxoCtL0Cv2XDKh4d47WImU41wEigyLmF05y+yETuVcDGpS7o2uwnIu0uYAiguh\nwiKlsnjxQi7d9rtd3YyKpLfRIobs2dlQKAYaw3MuigmLODkXwWqgJ3Fh7zNqJnKWqQqdewB6CYk8\nA8mAJnQq56Jk3klv4PGJlXXOVAqWcEeL5P9+dJxrrsJGaCn2XEoKi6RsJyIjLgoU0XLFhUzmLLOk\nVGGRwU6KynQu3PYMhHNhuA8DlXNRNGkrTVpdyXnp3bko/kauUAwEaYqvUhzXXXFRAxQOpbgiOkru\nqCkVFtkD0KnMG52baW/1Rxm37sdyjjEQ1UArBsvaqaGQaSuNEQD2pO+sSLw6F1aBnIteEj4VioEm\nE6orwbkI2+KiYFjEOc+jIldkK3GxB6CXoFgHEvfGPKAJnQMQgqkYLrkEZs/u8+ZpK42pqREP+fCc\niwI3asNOaTU2AAAgAElEQVS95lRYRFEhuM5FUQmdRhyAmpAjLgqNFsEkaEJCM72CWi4WSlwMelKi\nMp0Ltz1mfwTmupH2wiJ7kLjYtAk2b+7z5mnnJmQWmvlzD6bX0SIVKugVey5erZ9inAu9C82CSBHO\nxQgnlzOaimYtM1X578FPxrmorHyD9ADmXKQ1NyyyB4kLw7D/9ZG0kwhspHIzwfd0MuW/CzkXKiyi\nqCy8c7IIwZswElSnQYScicsKFdESFiNtkyNHXFhYCFVEa3Cji+JPqoHEGy0yADkXhnOO71HOha7v\nnLhwxGhaV+KiO26eUCHnwrvmKswtVOy5eO5tMeIinaDaABFy5xYpMFpEWIwoJC6kVM7FYCdVseLC\niQEOpHOxJ+Vc7KRz4Y6sMfTcYWY56PoelfiZybnoLaGzsq45xZ6Ll3dWVM5FN+eiUFhESEak7J5b\nrriwECrnYnCja65irbSwiOtcDMCxnGPsUWERXc/MztkH3HHxhSbn8vPwiXvR9PjCPh9rd8NynbAC\ngt0QKiyiqCyMXmqz+InnOBcFxIUmGWnaJcI7uk1eZiFVQudgJ6VVqHPhJgz2d1hESq9ew0Dkd1QM\nA5RzIQ2D70zv4C/rn+/zsXY3enUuKtQtVOy5eFWKi3EuzKTtXIR7DovommSksJM+8zkXSlwMcirV\nuRiw0SKG4YmLPc652ClxUZxzkUrEkCJTeGdPwD2LCjsXxfcSFYqBIDNiroicCzNFjQFCCwAg8z07\npMTQoCE0hIAF0a7WrMUWKiwy6KlUceGNFulv5yLtFINiYEqNVww77VwUKS7i9jwECT3e52PtbngJ\nnSosothNcAVvUTkXZpJqUyCE/SjPO1rEMDA0CFXVUp+CaKw5a3HFJ3QKIQ4VQiwVQrQIIW4vcptp\nQoiVQogmIcTsbsu+L4RoFELoQojXhBCjy9XWikRKUu6DtcJKX7u9PqufnQup65iec7EHhUV22rmw\nbyhGL6NFUs4kR4n0njOqxKtz0ZtzUWGCXrHn4oWGixEXVopqU0MI++acNyySSmEEIFxTZ4uLHOdC\nVq5zIYQIA08DfweOBA4WQlzcyzYjgaeAPwBfBy4SQkxzlh0LzAUuBPZz2jmvHG2tWEwT3RUXFRb/\nzeRc9PNxfKMd9qjRIuVK6CwwfwapFDz3HMmEPT3zHiUuepu4TFNhEUVlUdJQVEun2tLQnLBIU6qF\nqQ9MpT3ZnllJ19EDEBo2kvoUdDRnF+yr9JyL04B64Cop5XrgOmBWL9tcCGyRUv67lHItcLNvmwOB\nH0gpX5NSNgIPAF8tU1srE8PIOBcV1ovywiIaOzUHRq/H8YkLldBZPO7QNcPIPxT1oyd+x1efOZ1o\n43oAEukihqwOEop2LlRYRFEhGCU5FzrVVgCh2Rut6fqCNze9ycb2jd46ZiKOFBDa7wAazCDRL9Zk\n7aPSR4scBrwjpT2fq5RyBXBwL9tMBl7zvV4KHOFs/6CU8mnfsoOAz8vU1opEplLoQfvviguLSF9C\np9l/bUvvoc6F1FNIo4DrUAS95Vys7FjDB2Nha8sGwLZSsxsg4dlnB2X9i15zLlznosKuOcWei5fU\nXkRHLi51qmXAy7lwBYn/fDeSdgJ3KFJNff0ook1fZO2josMi2K7F+m7vpYUQDSVsEwX27r6SEGI4\n8APgtzvbyEom7RtGWGnOhdseS7BT9n1v+IdS7jE5F6bJxWdIZh/d2vu6hXbhORf5xUXKycVodxK5\nElY3IbNiBcyYAX//e5/bUKl4o0XyiQfLyvQSVVhEUQFYaQPLPSeLELwJadjOhZNzYcnC4iIcqqJ+\nr3FE4+3Q0gJNTdDebk9c1g8h72CZ9pPvykwBNUBHnmXuNv67YRKozrPe3cASKeXLvTVizpw5NDRk\n65mZM2cyc+bM3jYdOLZu5YsfnM+4/3sBamq8t1PJTu/vSutFpS0TNCcs0p/OhfNwDJm+sIhlgRD2\nv8GIYbCxAWI78XBzwyKFci5ShiMuumxxkZTdQgA7dtj/t7X1uQ2VSo/OhWlmRicpcaGoALI7mUXk\nXGBQTdDnXDj3gixxYY8OC4Wrqd/3AN59YSn/fNppsGEDVFezNNCKkSp/Z65c4qIVOKTbe0OAnrze\nVmBUT+s7SaHTsMMuvXLnnXcyZcqUYlbdZby39CmO+uobbFnzAWMO+4b3vp7KDA+sOOdigMMiEUtk\nwiI//rEtMBYs6Lfj7lIMg1QQdKvvF3dGXBRwLpxcjI6EneSV6C4uWltZMRoOi8X63IZKJVPnIs95\nm05nnIsKE/SKCue+++C99+Duu8u621Id7DgGtbIqx7nwn8+6GxYJV1MfGEXwUHj6G3PgV7+CAw/k\n9NF/pbPJZPEjLeX8KGULi/wd8J6UQogJQBhbQBS1DTAF2OLbx5HAXcB5UspmBgktqTYsLXOjd3FP\nAKi8G52rhvvDuVi1YxVNXU0ApJ2HYNgSGefiiy92ajpyP29teqvihJubya1rfc8xySR05tfySSeB\n080gT5AtLj7dsYrJP4L3Wz7ucxsqFXf4dCHnQlfOxZ7L/Plwxx192/att+DVV8vbHrInHyymkGAX\nBrUy41y422Q5FynXuaiioXYE0QiQSLA20MEWrbPiEzrfAIb4hp/+HHhFSimFEEOEEPkckqeBbwgh\npgshQsDVwEsAQoi9nOX/CbwnhKgVQtSWqa27FPcmljazHwQpn3ORrrDqlOl+dC4u/MuFzPubPcrY\nHe0QsbTMJGnpdFnyPJrjzRz7wLG8uObFnd5XWXFGCaXKIC66n1MuKVdcGE6dC5H9Gza22wlem2ON\nfW5DpeKFRfIJdn/Rtgob/q3of1a98RdWvvHnvm0cjUK8/MXo0kmfc9FLJ1NKSZcwqBHhTFgkb86F\nIy4i1dRXD7XFRTLJDyd/wY0jPnIqdJafsogLKaUJfA+4WwixA5gBXOMsXoE9VLX7Ni3AHOAFYBvw\nJeAWZ/H5wGjgl9iJnjHn/90ed44Ds1svU09VsHPhiB2rH5yLLqOLLqccdVq3bf2w9ImLnRym6R3H\nOcbWzq07va+yout2WESjz6M10s53VTCh0wmXdBhOnQst+zdsjdnOUXNi0BiEHpmJy3oJi1Sao6Xo\nd36+zyquGfdp3zaOxaCr/GX0/YXwcs7JxkZYssR7mTJTSAG1hL2hqHmdCyfcHI7UUB+pJxECI95J\nNJAmLtJOhc7y1+gs2x6llM8A+wPfAb4spfzMeX9Ct2Gl/m0WYIuKC4DDpJQ7nPd/LaUM+P5pUspA\nudq6K3HH03efSCmlF69YBxr/SW6ly1sPwIx3YXTY0TM3ITEitUz57zI5F7rTq2+OV9gD1DDssEiA\nPgs3d6KjQpNzpUxbXLRb9s0w0c0laU3Y339zavAldLqF3/I6F/6ETuVc7HHESdMW6OMQ8Fisz87F\n+rb1PPLRI3mXZdX66X7O/va34Buc4HaYav3OhRvC9t2z3Y5ryBEXALFkBylhYWJV/FBUAKSUTVLK\nF6SURd+lpJQbpZQvSSn3iAkP0m5YpFsvMyuhs+LCIpkT1SxUBbKv+25uwvh4hf23GxaRgbKHRQxn\n2viKExe6TsoVF310aDznokBYJOm8326XoSERyD6/2pxcjGa90MCu3RerJ3GhnIs9mpRI06H1sbMU\njUIi0aeigo989AiXP3953mVZCZ3dz9nOTmjO3L+6DFs01IgwQuthKKqzz1BVRlx0pDpIaRamtMWF\n1g+j8dTEZQNM2srvXOhGD4p1F2NmiYsyOxdI78HvCq4wgUxCp2HsOc5FX8WF6GUoqlPXol044iKY\nfaxWw444NpuDIvKYQcpMWCTfDJP+nIsKu+YUZSCZ7PHekcIkGuzb7/7Xuh389kjnGCWSSCe8+1F3\nDH8hwe5h0mQy8w+IG3aHtFaryjgXUbujkO7IjKVwc9lCkRoaInaphmgqSkqTWMiKT+hUFImX0Ol7\nEPx59sn8/C//CkDE7B/nwpIWs56exWfNn5W8rb895XYuTCG9hFF3tEOEoJeIN+jDIm7OxU6IC1eI\nFQyLOOLC7aUlQti9LodWJ1zSLAfZVOw+cZHPuZAqoXO34M637+TPK/uQePlP/wQHHFBwVIeORUeo\nb/faR8e185uv0afQSMJIeB2q7mSFRbq7ae4169Sj8cIifnHR5oSYW3Z4m3k5F1W1nnMRTXSQCpAJ\ni4gKzrlQFIdrV/nFxdnDFvHaBPvvmrTWL+KiU+/kvvfv429f/K3kbf035nLnXKSFxHBL1jqJh2ER\nLHtYpGLFhTNaRA/Q58/pTnRkFBAXbtGs9qC9/1QQpC8ZrRX7ptXMIJvQzLJ8zkXuNZU2eriRKyqG\nha/M45lF/136huvXw6ZNcNtteRenNItYWBY15DMLKYlqBp1h+iYuHOci3wym/nB5jpvmuiSttoDw\nwiKBSGYoqptz4Rta7brioWAkExaJt5IK2h0T5VwMEtzhgv5hg8J3jlVbgZyT6oXPX+CcP52zU8dN\nOFUak32YtMqkH8MiQmJINw/FcS5EMHPEcoVFWm0l37ypj9nh/YSZSmBp2JPW9Tks4joXhcIi9n5j\n4cyJloxl0qLaNPuG1hzIP9pkt8UnLvI5F0ZPyXOKiiEWbcbYvLH3Fbtx2de2cf107FmB85ASFlJA\nZ6rE4nHJJB1huVPiAvKfc+5okWA+B7ubc+GFRQLV3mgRbyiqr6PhnuehQIjasF3RIRG3nQtLus6F\nEheVyRtvwCWXwB/+0Ouqpun20jM//oGxkPd3jRXIjJRwWNa4jJfX9lr9vEfcE9odOVAK2WGRcjsX\nkMadeMtJ6BSh8jsXMSdp0aispEW3vsnO5Vz07Fyk8lTnT3S2uQ2gNWL/vs2h8oa8djlZ4iK3d2oo\n52K3oDOQRs+XM9MTUvLAITr/PhVWhvNf827humi0qbR9R6N0VNF3cRG325PvenWdi4iZp4hWd+fC\nCYvUBKt9RbTyiAvXudBCVAWr7F0lYhnnQijnonK55BJYuBAef7zXVb2wiO/HP8DKzIdSLQM5ijWZ\nThZ8cBRLPGmr89S60ieXTfvETrmnpradC+eCcLKaw8EwpvPA/OmU7fzkiO07fRx3OFZHFRhL39np\n/ZWLlNOunRIXzlVcaObPVJ4bsycu2tporYYxySBtYWtwPWSzEjrz9BJ7sqAVFUMsaHn3iEI8+MGD\nHH3P0Zk3kkncXM25+2/Ku03KmRG3o71EcRGLEY2AEch0WkohsdbOe8uXd+EltVvkdDILOhfBGm+0\niDcrql9cuOHmQJiQFkJIiKc6MXw5F5rKuahQ3B+9iB62N1rEl3NRKzPORTXBnJMqZaYKZhcX3cQO\nO9cgta30Utr96VyYGhiOc+EOmfLnXHw+xGBN3c73qPVEJseg5bXndnp/5UJ3LEs9CLKfnIukyL0x\nJ7qc3pwjLr6UbkAKaEsOoloXfuei+42abuJiMImqQUTaSpMI0atz8fctf2d1y2rvtd7WTNpJ1t0R\nzHP/kNIORQLR2I7c5T0RjdIRsf/s6ix9NuOE7riVee7pbgijytQK51y4CZ1GFwELwqFITvnv7JwL\nZ0LIQAghBFUyQEfavh+aQmKBci4qFvehUIS48JSlr5fpjwdXyTziIp3ClGbpiUc+4h32pDQpow85\nF77jWuWucyEylrU3cRlB76FgCAtD7PyMff46Is3Jvk9vXm5Suq/su963hEov56JABro/LOL25lxr\nVm/eTlcYJgZHA9DcVeKNtpLJSujM51z4hv3lERe6qbOxvfRYv6J8dMbs+5ZBz+Lvi+gXWflkbS32\nNFUNhoYh8tw302lvXpmOWIlJ3o5zAdDZWboYTzqh6bxhEbeQoCUK51z4wiI1poYI+ct/uxU6c52L\nkGZ3YqtkgA5p78uSbkKnci4qkk/qk7aSLcq5cObp8J1Y/l5VQOSOFkn1cDIC8PHHcOyxoBd+8Ls2\neDJd+gMsjYVbdymfc7Fyx0ov/lcqtnPhigu7bXZCp9MbFzJvr7NUssRFBeVd+Cuz6qk+iovewiK+\nm+tQp2pUIm7XtGjbYVvGX6q3hys1t5bobEkJ8+Z5N7yKohfnQvfNIptjQQMPvP8Ah//+cGQZcn4q\niU+aPvEs9Uqns80OiepFiIuUmUJKybLGZbS22uJijFGFnk9cpFKknBmvop2lzQZqRtvpdMVFvHRx\nkXCGhht5OnruiLmIpeV0JtvNLlaPICssUmsICId7zrlwBEso4IgLgnQ4yd2mUAmdFc2hF3cx9FqQ\nRYQM8uVcpH0XTgDfjKAOriIvNDaaFSvsWfraCp/oiS47NpgqMC13T5hYRJy7dL6cixMWnsADHzxQ\n8n4taWdru70SN0QQESGvzoWuWRjazjsX/pr9zeldVCxqwQI466yst3S/uND7dsN3xYVRhLgYlrZv\nMImEnYPT6iSzfWnkl4A+iIu2Nrj6aniuckJNHjsZFlnXto72ZDuto+srUzz1keMeOI4HP3hwVzej\nKGJt24BMB6QQX3TYk++tblnNUfccxbObXgFgtKzNu62ZiNuzPGMPy3RZvGFxryPqYr4cjc546R2V\nhHTERSK3Q+bV+smTe3fXgc2c9G2yhqLWGkBNTWbKdcudCsBXodPUERICwrZqqgl5YR1vKKoSF5XN\n/43Y1us6+RJu0tLivM79kDdKAhR2LgrmXbh2WaJwzzfuxNj7JC6kRdhybLc8U1O3J9u96bxL2q/z\nXbi2ZcJNUBJh73ZgCNlzWOTzz+GVV3o9lq4nCJkQsKDZLHHoWbn46CNYtizrrZSR+c1SfQyLePNn\nFJg2POmbS2SoFQYg4ST4tjouzv4jJgLQ1lFi8qzrlrWU1vsbEHqpc2Gke07o3NZlX89bQon+/Xzv\nvw/bdz5puRgsadGWbKMtsXvk1rgP8p7CInEjTkvC/n22d9nf4/K2TwDYKzAk7/1DT2TuAdF4u7ef\n6Q9N5+nP8k6F5dHhy9HoSvRBXDhhSiOZKy4854LcUYM7QjqbhkKy3Q7jdOld1OgW1NUhArZwcLfx\nF4XTTZ2QFJ4AqRIhOuxBI3aFToEKi1QkUjLSOUceH9V7vNqtRpnuFhYJOqoyILS8ORfQLSzy8cew\n1Znh00306UFcJBJ2b70vQ1HTwiIsHXHRzZ2RUqKbuldHoxS8SdwcpyZhJAibgpAIeqNFDCG9nIK8\n/O53cHn+Ov1+dD1BVRoajADt1i6yhOPxnJkU/eJC74O4kJblJa4ZBZLe/NO5DzVt5yKZtGdIbXXm\nExk1aj80C/R4icJL17nvqxBr3lJiy/sfaZrInpwLX/5QjviQkq1Rewr6LUPoMeS405x3Htx5Z//t\n34d7ncaTu0ep91jUfpDqPTgXrmsB0JG0z+ePu9YDMDo0LK/zmUp0ZrZJ2eIiYSSwpNVriDfqy9Eo\nuUYGkBD2darnFRc+56LbZ45p9nabErbojRtd1CYl1NaiOc+PvLOiWgYhK+NMVGm5zoWq0FmJ+EoI\n95Z0BL6wiD+h0y8uyCMu8jkXl1ySqTxXhHPhxtiTVuk3SVNmxMW70U94YtUT3jK3TX0pzuUOu/Kc\nCzNJjaUR0AJ2j1NK9AA9h0V0vaix5rqeJGxCBG2nR970ynvv2Tkw3WY5XWE28sdx2Td1f9xf70Oy\nreVzKwrmXAQy399Qad9VEin75hpL29/dkBFjCZvZPbpiaOtsZtYZ8GTX8pK2GwikL9SRX1z04FzM\nncu2j+0hy439LS6am7MmpCqaW2+FpUtL2sSt6hj/cFkva1YGXkJnvrwJhy+iGXHhOqif6Y3U6FAX\nye9cpHzneYcjtNz7Qm/3h46uTBilT+JCcxzbZO59yxW8VbJbzoWUxAL2dhtM+zvpSsaoMYDa2tyh\nqP6ETtMg5HvUV2lh2h3nwh4tItHKHxVR4mKnMYxMzLuIxMN8FdTSWAQ1O7vIdi6KyLmIxTJx4CKc\ni7hzEaT6Ii6EJOycKr/b9hw3vn6jt8wVPok+JIqanriwP288naRaBtCEZjsXpomhYc9cmadUrr2x\n0ePndtHTScKWICID/S8u3ByYbi7FgzWruWa6mfWg8o/e6Ytz4Z+LoJBzkQxkqsB64sLJ73BnUg03\nDCds5o8D90TKcUC2JCtvlIlfeOVL2MwSF91zLtavZ6tmfxdb6skWF4mEPStmOZDS3ld7gbDiu+8W\nDpnccQc880xJh4s7Dma8D7kCu4KY8yDXhcXKHSuZ97d5OetkOReN6wD7njosJQgFwnk7J7rPuYjq\nzr2xt/Cze4xE5rfqm7iwz0UjlSsuMs5Ft06mYXgjVDYK+7frSkTtnIva2pyhqFk5F1aakPSLi4gX\nFjGdsIhQYZGemfv6XBpjjQN7UMPwpm1O96Cun139LHe9cxfpfENRhezZuUjnnvR3HbCDl+Qa+0Ux\nYRGnp5oqlBTq8MD7D/DYJ49lvZfGIizt9sXNpNf78betT86F82B0wx4JK0W1DKKJgP0NOK6QoZHj\nAmR2ki5OXBi2uAjLQJ8EVkm45Ya79XbjVsq+qDszN7addS784iKdJylRmiapIDQ4q1WLMCHTLy7s\n8yHYMMx2LvJYtT3hCqLGdOXF8LNcHfI8YHzXU/drTo/HaK62t+keFnnqF+fxPz85pjyN7Oqyz+1C\n4mLmTPjvAvNqpFJZ51JRh+uwRWC8D2HM/uSe5ffk3HcAYk4+hCEkz/zp3/n5i1fnzMnhdy46fDlD\nw40goUCogHNhf29VBnSkbYHgORfxwsLxpkd/wIvJjwDQJHQapV0vlrS8USo9iYuwDGD6P2cyScxO\nl2JDqAukJJ6KUauTJS68nAufE2dYhuc8A1QHIl5YxBISU6giWr3y9GdP8/YXbw/sQQ3DC4v0NGRy\nxqMzmP3S7LxhEROLgObPuci+GPINRb1nYow/1Tlj8ItJ6HTiiPmqNfp54IMH+MNH2WXMTSQRHHFh\npejUMzc0t219mrPEyd8wHCUft1LUyBABodlhEWc68rRG4WG+rrgo5Gw46OkUISkIo5VeSrhUuouL\njz+GlhbiUicaAasz09vxJ9jqfUi29U++ZeQp851OdCEFNOi27xnRQlRbAS951jB1NAu02jpCVunu\niVv0ZwuVF8P3167I71wUzrloMmyxFEk7YRFfgbOHzOX8bvi68jSyoyP7/+7E44VHgaVSOe5Yb3Q5\nxfTiZmWJi+8/+33Oe/y8nPdjjkugaxap1xZhBKCzJbsDuTm62avf4ncVhqdDtnMRIOf+4FbGHRWH\nqBMaTDnTlKc+/rBgO+evWMCCoesISMEII0RXiY5tllOZ7ILf/jZr7hPXSczJuUgkiDmCYEO9hM5O\nO6Ezx7lwa974EjqtbmGRYJXngpigRosUS2tiYIeMWXrKlzTW+5BJM0/CTVrITFiEPOIij3OhC4t2\nnBO1GOfCeWgk8zyA/HTqncS6WX0mkhA+50LPdS52LizitFHqVIsQmhawwyLptB0W6WHG0Mcia5h9\nstVr6Ww9nSIsA0QI9ure7DTuzcJt0xlnwPz5JKSOFBBty4wq8ifY9s25yGyfz7lIOb2woY4Cjmhh\nqi3N+73SpkHIAoSwnYsSBY5bP2RLqHDbL/rLRbyyrvcRPXm59VZ46qk+beoXF/mSgr3x/5bIybnY\natoP+8O35YZFtmhd7AiX6Rxqb+dfT4M/1RcYAqzrdgi0O5bFZacZPM/q3GU9EI/a8fq4Wfq5tivo\ndEIWhpCkhtszerauej9rnR1dOxjr9HfchE6A4VaEUDBsO5/d7h+6k++wVxd0mE7FTOdaKXQdSimJ\nhe1quvUpGGIF6SxRpCV8RbeM9Wvhxz+GxYu999LRDoKW3cm0yHYuXEGwYSgQixHXuzJhEW+0SK4z\nbkjTu3+DLS6cwX92zoVAJXQWw0CLC9faCpuiYNJRdjXOfAmdPnEhcrOE8+VcGELSLpwHQTEJne7E\nZcWICz37ZpYWFmEnbJOQOl1Glxfb2xnnwkvodGKiCWlQI8JornPhD4sUEA9/izTxzJfoNTSimzph\nqREWwYF1LqSELVugtdUbgtbenhEXOx0W8W2fb+bPpDMEucFyCugEwlTLIAnTPafSXiZ5WGroJf6O\nbiGgxiqjoHv0+MrHeWvTWyXt1+Phh+HJJ/u0qRsWCVkif0KnI9arrNzh39ss+xo4sjE3LLIlmKA5\nYuWdMrtkOjr488GwaEQBd6KQuNB1njoIlgRKCwN3xez7Y7wfQ4MLP1jIt5/4dp+27V4oMOaEcw0N\nUg11ALSsWZG1TlvLZsY6X1FHyicuRHXGuegWonSdi72SAVqk4+o6oZJC10Ciq917KNcPGUmdDNFp\nlXa9JNozibtGp9NWXzJvunUHQbTc8HgiQSwMtYQ9cdGVjvvCIk6dizzOhSHT2eIiVO39beGU/1bO\nRc9oQutRXBy54EieXf1sWY61JbqFfX+1L1902BUOqy2t4JDJDe0bvL/dm5jZrVeVldAp8odFspwL\nTdIecC7EYhI6PXFhcuVLV3LNomvyrhfTY0RT2Ra3iSQinOJLzk0p0dYEN93kXaR9GorqhEXchNg4\nBtVamIAWtGs3FBEWSUuTeIjixAW2c1GMuPi/j/+Pb97/TTvZ7utfh/XrMwsbG+Gvfy28sV9cxGL2\n61iMuDMErd03C6M//yO1EwIN8o9Wcm+YbiJnJBChmiAJN9RmOc4FtrgwSizv7oZRttaB1Z77gEyl\nU6TM7FBaSSSTfa4x4YqLsJVbmA4yD7KqPAWLtmpdaBZM3gZNdZlOhCUttkZ00gHo6OzDCI9uyPZ2\nmmtge1DPL850PX/yaDJJKghRq7TrrqvLqe5I/4mLd9cuZvGavjlVmzqyJxmLOXNg6JokFbQfgC2b\nPs1ap611C2M85yITFhmm1Waci26dE7fs/tTWOtZrHaxrW0fKGYatG/ndu6hvuHXD8LHUEaZTligu\noj5x0eUoIr+4aGshKAJoQmSJC+mERQ4N7UNjPegdrXSlE3nCIrnPF0Omvc4hZIsLU9h5FyqhsxcO\nCpwh9Y4AACAASURBVI2hravwBf/+tvf5rPmzshzri+gXbIltYb0jHKploKC4+LQ5czG4vcvcsIj9\n8M6bc9G9zoVloQegPejsw32w9jAkM2HZ+0gJkw+2fcBHTR/lXS9vWERIwsIWP251ua4lr8HcuaTW\n2rZsn3IunGp0bkJsQqSp1sJoms+56CUsYhYtLgzCIkBYBHt1bwDe3fwu7219zxYV77wDr7+eWXjv\nvfCd7xTe2C8umhwhEYuRcCYQa/cV4Un5BWMf5m1xv8NI2jet+O23w2r7d3FHcwwV9g0lEghTQyhT\ngtg0CEm/c1FaG9yci3QAdmzOtehdodpZYollj1Sq7+LCucGGLZE32dpzLmTAs5NdtgUS7NUF+zrP\n9W1x+zdr6mryKjvuaFrPztLRthVTg+21MvccltJ+KOZzLlIpUgGIlfhwizuVeuP0X2iw4723s6pY\nlsKa1jVZr2NOyMIIZIR4y9a1Weu0pToy4sLnug4PDCEUDJMOgOzmXLil9me0jyEiAzz16VPozrVS\naLRIrGWr93d9pJ46UUVniSItEc10fvUu5+RyxYWUGO2thEQwJzze1dmKFHBA3TgAWtsaiVspOyxS\nV4fQshM6/S6m3j0sEq7x/vYmLlNhkZ4ZuraR1g2r8i4zLXvir748BPPub409dXl8nS1WqmXQzkr+\n9FO48sqsdV1xMaJ6RH5xoXULi/TmXOg6RgDaIxIsqzjnwrkwk5pFTI/l/R7cAjI5YREy4sKl01Hg\nqSbblt2ZsIilgZU2iAuTmkCVV+dCGgZpNyzSm3OR7Pn4hmUQJkhYCxaep6ClxTtOY2cjyXSSdKtz\n4X/8cWa9eLxnMePPufCLC2d8e3tX5mGpW4Y3TFTvS4Ez5zusSvuci+uvh6ftKoOuc9Gg2TeUSCBC\njQgTd0sQ+wrshNBKboM/lLNla65wd23qzpUflLRfl1YZJ97WtweVFxaR+V1Fz7mwtOzMfGB7MMmY\nTuybN5Bw8oy2RDO91+bmPFN5338/3Hxz0W1sbrevn+215I4YcXvbecSFlUyQDkCsxIebW1Eynmem\n3HIR7WqhM1Ba2GiUM4RibVu2cHDDDqaW6SC1tmQXbGvTUowx7bGV7elORndCfRLGhUYQCtmOXfdJ\nAV3nYkT1cE7qHM2Tnz3pC4vkvwZiHZnzsCHSQJ1WRVeJIi0Ry4gLI+4oIlc8NzeTNg2CgVBOzkXM\ncZzGDf0H+zO3b6XLStrORU1N7lBUf1iENCHf/bu6u7gQKqGzV4akCudc7Eyxp3yYjqUVd7Kvqwna\nN7DXX7er7fkehq64SFvpTJ0LabKubR0JI2E7FwHXuQj0XucilbKdiyqQnZ2YiTirRtJzzoXzMElp\nFp16Z94wRtyII5F06p1ZBVxMIQlroax1u5zEpNQOW80nHNWfaG1i7d+Km2cia/K2VIKEZlIdqEYT\nAXtCs1Sm19KTuEgHwOjqebSCbhmEtSARLUwqn7iQEg45BP73f4HMQ8SdOIlPPvFW7Up1sqGqh/Oo\nm3OxscG+OcSD9u/a7pvLIGXq1Jl2r6KUZMq1rWvtc8cRF9WmZucVpNP2P+dBlXSKBQ0N2vHqqlA1\nNVrE67n6x8CHZQC90OR4BfBPvrSlaW3O8qgzNDDWx4qQZ5zWwU0HljjfiYPnXMhcNxBAt+w5F8Lk\nOhdRzaAhHSDinHZuafZGn7jYkW8elieegFtuyYjKXmiO2fk3TfnERSrFhqHQGc8dpupa+FFRqrhw\n6lwE+k9cdOgx0oHe60X4cXvca7atzHo/hu6J7y5HXLREt3khpLSVpjNgMiY8wj62TFCnw6q74fzI\nEYSDtuhwC1Z93GR3EtzfM1IzhFPbRrBk0xK6nJL4eoF8FNeNOah+f8Y3jKc2UEWn5rteNm/uNbE8\n0ZnJCTHi3cIiGzawud4u/NXdwY45E6SNH3kAAI0dW7CQ1MkQaJpvKKrzvfiHomIR0nzORaTW+9sS\nOAmdmeXlYlCJi4ZUppxxdzLiojxDsNwiWHHnhKwmRFqTmZPLZ8O5ORdp08hML26lmfrAVO57/z7S\nAoKB/DkXbnlt/2dwxYWpQVfrNl4cso3DfgTRROH5PdxkwpQmicVaSEZzRZg/Lu7/O5+4cGcDTDXZ\n4iLpZKHff8+POPKZ07GM3m8sWfkCyS4SAYuaUDWa41y44kIKCu7PjZW7dm8hdJkmLIKEtRB6vl5b\nW5tdrKjRKfkcc8SFUxfALy5+qy3nH88twrlwxMU/XQS/Gr2WhNN58M/DkrL84qL4m/GxdxzMg/97\npTcuvsoStnPhHtsZvujmxAyNNAAQCUaoCfjEhUxnwiIiUPDGWgi/c9HYljs9ecd2u3dfaj0Alx1V\nFp/WJW2HrkS8nIsenIuQ6UwW2K0aYqdmUjd6XyLfuRTIlGnf0rLemyF4R1uekudNTfY94IHiJvJr\n7rQfWPEwdPpsdwB0nVMvhDsOyr1W3QqTsUBpyclxJ0EyHij9+ywKwyDqhGpiJcwYqjtJ3Wu3ZIdr\nY+gMTdnnpxsCatEyoTL3WhpdNxqADqFTlYa9YxAc0uA5F0Yqwectn/OV336FpVuWeudtuKqOUV0S\nS1q0O/OtFBLYUSec+cIZjzH/n+ZTF6yhU/PdS8aNg6OPzrvte1vfI5aKkfTdp7y5RZzP0rV2FY98\nBc778jl2IUFfzkXU6ZD8w+iD7O+p076uRkg73OmGRfLnXJiEReb+XRWp8/42BSqhsxjqU9Bm5r+J\neeLis0/yLi8VNxnRvVirRdgOixgZd8HFdRyMZNybATUtTXvCr0QbaY2Mc6FlOxd+9e/auFYq6cV9\n21sbacG2SNt8mdK88w4sWeK9jIs0AQtSAejsaiO5o9uNjGxB4c+7SIvcsEiXU+FP/8zuabgx/Jbo\ndtqrYPOHb+T51rIxfQ9ToytGPAjVoWoCIoAU2QWdDD2/U+COAuhdXBiEtZAtLvLVI9ns9EK7upBS\nesXYYh1NPDQZ7h67mdbtGwBoll20VVG4tkY3cbF1CDRZnXb4Bmj3/U66TFMjgwSs0np6LQGd1sa1\nPnERsL+LZJLX98skjbriosETF1XUBKq95FLbuXDEBcGCM6sWwk0AjaTJW8DOTYIrNaseANMkFYAv\n6ilcZKoHXOciRG6SNFddhfH8M4SsbsO/p0+Hhx4iFoG64WOJzLka8DkXLRsYG4NhCWjuzFM5s6kJ\nhCheXPic1u3N3cSZrtNaDetqUjnnmnttxEp0ILqcazwetOelKTsbN3oFmjzXrwhSjrhY35adxxIL\npBmh2/eeTuk4F9V4dUHcCdiGD9ubcBq6AiZVWtj+DRoaCIUc50JP0Bq3HYIVny72xGKkuo7qhJNo\n7QiVQkX2Yp32b7XXXvsTDoSpC9XS6X7/7u/zwQfw6qtZ27Un2/n6fV/ngQ8e8KZhAF/5b8e5eGTd\nU0Qj8INvXpGTcxFzHKfxo2zn4vOEfb8aKewQRybnIte50IWVFRapqso4F25YRCV09kJDClrJ36N0\nLedkR3lmNzQdweBerNVa2B7VkMe58Gb/DPjqXMg0KTOFkdYx/eKiW85FVh0E052q1zfpTvs24o5d\nmJUrceut8Mtf2j2+bdtIaCZDdQ09aF+wiTxJjX5x4Y0Y2bgRU0Cku7hwYrepz+2QT5JssfXpBwVG\nUyQS8Jhdic8/w2q6o41ECKpDNWjOmG3/5EJGgWGa7kXUWzljXZqEtTCRQCRrIi8Pn7hoSbR43/X7\n0dVcfBZc/i34v9ftSolxK0UyiP1bb85jjftyLqym7UQjEAuaJFxxYfiKaEmDiNQIW6Jo18A07SG6\nqXQqExaRjrhIpTjtQngwZItod4KyoTXDAYiEq6kJVhN35zeQvrCIFkSXpYVF3GF7+8aDbE/kJlN3\ntNoiNiZLzychlSIVhC8a6FNSp+dcECDdvWO2dKntXFgi27l4/31YsoTOMNSFaokE7SelO5JnS/sm\n9o7ByLhdX6E7K+Q2lhz3D/Zsvb1Y5ADNqUzvfnvbF9kLdZ1k0Kmz0X3CO+d3jYVkrquzbl1B4dvl\nFE+zNF9CYTlZs8arx1CsuLCkhRGA8e3QlMp2aToDJsOdmXxjwv4+W6vxKpO6CfzDRo0n4jxPq0TQ\nHr583nmec6Gn4iScjuWn/3kNqfWf29OQ19RS9bF9D3NHmugFBHYs3oZmQU3tUADqwnV0hqT9Xft/\nn7vvztruhc9fQDd1muPNnrjQLNBTXZgCHmnYRGuilUWxDzm2pZb9hk3ICY/HnPodew3dl7AJn+t2\nOG2kZrsQXs4FmeeLi4FJSPOLiyGZ794Ji2j9MLnIoBIXQwjTGUjn7QGmnPBF0kiydMtS/rquh6GE\nReCFRZzEoOpAhLQG25Mt3P9VspwL07ST9qTAi/fr0iRtpdGNJGkNAlniArjiCli6NCtHxHVAdN/8\nD+0dTZ5rEDV8w/3cpMMFC2DsWBKaxTDTvkgtAUktt8fjdytiesyeHnzCBHvisu5hEXeuEtcRcj6X\nW2b80/V/z//F/fjH9iyQO3Zkh0Wi7SSCUBOp8zKX3QcjZIdQ/LjWYbyHkr3/P3tvHmVZVpZ5/858\nz7lzxI2IjMyMrCyyhswaKSYZFWgQxQG79WMSFWlsXJ/Ybak4y8IB27b5QFvtVkRaWwUcoUERBKEK\nZayCmqsyKzMr5yGmG3Hne+bvj73PPufeuJGV3c23Vq1v+a5VqzLufM7ZZ+9nP+/zPi9AQIxtWNim\nTTCrquecnNgHAy5czqsezoxyT4rupdPiGBMx6aePPw4HDoheIsUoMBfdjQukGnQccnARFRxO0wgb\nAzuZrBy5UmTnxY/9nLlIDUIS4uGAkQUXEwn+5I67XpbgwnLxLFfQ4mkqa+DF+bY0c9eJdbfImIv9\noctqsJMG726LBaavPclC++EPiyqcyQPFN2DTg+Ha/3rXVaW5YEYl12BAqFNgLuQCHQRw4QJ9G6ql\nGo4xBS56F9nXg4UBbIzbOz7znc8e84YXrQtW4OKTe1BsRF1qsZj4V7sXxUKV6YuCAN+UPhtTos4M\neHcdJrVWm5tw4407ds9ZDKO8omz4v1nRcaVIjx9XfSuKAsgrRcbIHujAOoMJSn9opjQQH9iXXUE3\nPdRivrUhwH1z+VqljylhwXd+J8zNTTAX474AD0dbgnF1Yg0tTnDl0OzINM5uALs72qYa5q3LK3aF\nvs1kufDhw4K9KMRHjgmfls6l04zkOlQNNfxgxHe+Dr73pVv8j/v/mE7QZUkTC79wKc7HbNb/pOY2\naIYmxxMBqlqGMBbL0yIzNBdaglWYv0vuVFpE+5dqkSeN+oEbgJwqK0YglbnjeMx7vvQe3nH3O/6P\nvkulRaSGIwMX/zN8iH/7KmG7rF7b71GSA38s6eiRHMBhNN6ZFtFS0Ur8M5+ZtIfOtBd+AVz01lTN\neq+Y1x6NxH8XxKQ8tKApb1JAlUUWY0da5NQpSFMinYmcHQhRI5D75GsJcRIzlDujo+1dnAM/9Sn5\nhnCifXvYaTO0wLXLGBJlF8FF6M9mpFRa5EkEgwExliGZCyPdubMrMBcX/+IP84el9sJIoCfLKYfS\naTO6cE58zrmpHWcBXGxviQVmPWci2U7y6xSkEQ4mdqITXKVzaJa3LYILIShOGEsGZw1pDCTB75G5\nG3nVUbi1fC2eVRYpmjAU7n2KubAICozWyb96L7/yputId+vrQs4IrqQ1VpOd16Aj21P3r0Dfv/++\n93PXj/8b+KEfmnxCMhcA5y/vMp6uEFdMiwyHhAbYUboTXJw/T8+GilMrMBfiONdGGyz1hW30+jSY\nWltjw4Mz1oAH9gBnZ1STTMVG0ufGsI6RiDJXPvUpWF6GICCVx39xFriQaZG+DWnxubU1AU6mx6SM\nQWGzkonRv54xOvGYStn2u1f3+VmKYmUgtFabo0I1lQEVTVyDnvT43nTJwUVb3J+N/depObZEvkvP\nwcVYiZuPtkSPJSfR4M47cV/2LUCBudjFB6c37lKNcuFjuVRlYEE6GEC3y+88Bx59yS2COZJgw498\nPv64ELhvn3yY0biHFUMp1ni0HvLxG+RnD9p00jE1S0wU+rSg0+9hJMJdsxGZnDQ62IlORbIQO3uL\n5GxWqKXYRj5/u25N/TvTXPyLQ+eTRO3A9QBsjcVN/+Dqg/zq534VyLvgjWOfwQP3Mjz+6OwPkXG+\ne563/cPOJjlZZJR+ZqPrmi6hngvc/MLCGA/6ObiQO3wlqBv0Bbgwp3wuwhC63Ym0SIbwi616t/ub\nCqhkNeGAABbjMSwuij8taBr5Cjc2dh5Xv5/vxLp+VyneY11Q5hOvlUDGL4iMx9GYkZy8jkW7UKIS\n7BAERIWdut/bIjDBK1XRpbJ5XABRu6dFZLv2wvmeFYGWYJsOtukQzKo+KTIXp3Mm4nwgqO+VoUlf\nApiRvHadzipvfSV0p3odTICLrvRHkKfejTS20xwo+WTg4urTIhm16sdBzlxgEpIyls+tGnIcSuZi\nvrmXj3wIFrwFPKciwMVwSJjGmBTAhdzxJL0u1z3yFt5+zcmJ8rnpCCOh5t9rNlnVdwLAruxq2bPT\nmc3n7rlwD2/+6Jv57Vk6OMlcAJzb2FmJMh3DcMhbP/LvFMDNmQtTGbWpGAwIDHJBJzK9EEWKuai4\nNWxDsH0Zc9EOOsyPoBU7rMdTYGp1VeyqgY8c5urAhTZiUauwMDZEWun0aZGD39xUc0i3tDPFkGlp\nEn0KJGTalPbsazZIxjR9cTL+vwAXnXPH1b+L88mVIrOoX3H3ALC6LYB+Kk30yoYQLfZltdWmh0qL\nbG9fxkigunwwT4votvpsy87BxUjqFk41BONjJxrceCOlV79e/HbJDuwKLsI+1SSfB71STaSX+tvQ\n6fC2l8P7bpDz0D33wNGjXOpfoh8OsCPo+F1G/gA30bFSTbU9z46jo/nU7Zy5mAAXUZ9aIFiTZurg\nazGtyEarTIELbYq5SFMCLcUqgIsJEy39X5iLq4p6QyiG2z2xKH74b97JOz/9dqAALpKA4bCjukLu\nFnc/+nHe9cV3TSj7i5GlRQYFcBEVwEWGkgHi0UCBi5FkLjJwMX74PlINTDmJTeTaer3ZzEVB6Lg9\naqvP7BV97jPmYjQi1gTD0LByxBrq6Y420/3P51Rq7/xJWBcLY6yxsxQ1GoLrqp0lCIvxzPnxaC0Q\nzpZFariYl5xiLrpyEXZLVQxZOeMXwEW0SyWFSouMr9z6ONASbMPOwYU/lWYpMhfxNotjAy2Fc8YA\nI9VYihz6kq3JwMX97Uf53efAVzd2SYuEIR3JdqxKcLHs22xTuKZpLMy9Uv2qUxIZgPCT/By6WIK5\nkON81ZbpKjnO7arIE2PbE+AiSmOVFrF1S3llfOB33pIfzhVy80HsYyWwVJpn1fL5yGMf5h2febt6\nPtsNhgYEGzsB51vf+ypSUo62dn525uUAcG77yRfqP/qbt/O7D/wBf/1x0ZZbgQttRlpkOMzTIpky\nP9NItNsCXHiNQlpEeixEPZojWLDqbKRTc8jamthVA3/2dH2Hk+Ss2DB8WmaNxdBmNWjnKY6NDcVO\nAFzYmGyU5hfmr24x/ZA1OdsFXAwJaEVirhleATT+70Z2H0MugHyyyLQfB5bENn716FcBiMdDUi0H\nF4EJ9cRmuyTYYICtziqNMWjz8ziSgZsJLsKxYkITHR5ZEM3BANxKE4COLAbYzQenFw6opflne5IB\nGPbaDLfWGFvwkNsFy4KXvQyOHFFzdmsInajPyO/jJgZWqitwURtDp7dO14iolYTwelp71w0HVCVC\nzhjoVmBCWUwsuwo6ZQuFibSImaOa5F/SIlcX1bllgFzVv3qKsZESRoFyXxunIcM0UIK23cK/717x\n//bsvGEsF4KhFKq5lgAXYSYcLTIXga/ygWOZjsgWqMycxzQluNCFx8ObXgWf90/M1lwUwcVgk6Fk\nIbrpbHAxlgCgWWpMHMO4swmfy6s6ev/8GUqxjh1B72tfVOAi0kXDq2IcNbd55Q+YE+h7HI0Zpj4a\nGhdr0L3vS5PmU1/9av7vIJjwucgmItetomsZc5FPoOEumots0RgGg5nPq6/TEmyrhGOVxG54GlwU\nmQt67EsqVAI4X01pJDZVrURfWhFnlRZb0gxruze1A8w+ezRiW5ZG96XIbW/isa0XGBstxtEs7FS7\n6rSIYi6SnP0p6aJaKdudrXqpSCtEY6wY9JJc9RwHr1RlKOncYlMj27DVxHp/N09DjK8glg3iADvW\nWKosMbBSfu8v3sYvf+5XOP393wFAtyBe7V+eBAhx4HOPdonb/CYn5tjBLvgFHc25wZPrF7aPizLG\n+ra4Z5SJlibt5IvfPexzrAV2XKgWkSLswBALWdVr5sxFHBDGIb10zFxo0rLqrGtTTM3aGpsevPG2\n72fb1Xje8Ld39MqYjg0rpOU0WEpKrMbd3GV3c5Oxn88h/8+pD/ATn/yJ/NwU7o1eYUF/UuaCkAUE\nvTLsXaFU9Cd/Et74xiv+9lnRGeTfO8ufgzNnRCVbITLPjpVDdwCwdlxoFgL5eMXKTZ+WqZBqIh0M\nQtDZHAHNpgILk+BCjPswGE2wmw/sQYERtyb0SB3ZCHI3cNGNh1S1fMLzvBxcbMr054Od48IvR0Z2\n/ReG0ElGjEZdXM3GSnWlTVnuQ6e/ScdKqEvhtaEZkyZa8ZCq1OY0NQEoWmO9AC7EsStBZ3YMQSBA\ntJGfkyK4yDQXGTj5esb/r8BFrbUXgPa6mMQ2QjEp9rrrSgQ5TkOGhIxmVQwUItsZZCKg6VBpEWlO\n5VqeMI6ZBS60JGcuJKjJFqiRfH0OLsRE+Ke3wRe0czOrRYptsbeHW0ooOKHIL4CL0aJA5s29T5s4\nhvFH/gpe8hK1W+p31qkaLtXUovfofTlzoTORswP4+/kt/n5Pj8cP5YBlPO4z0mJuNAW9eWyeyYZB\nU+AiKjAXHblQe25NVYuMwwK42MX8TPlcXAlcxDGhDrZVwrZKO5mLNBXMha7DYCCoarNOJRBaiQYl\nqrqrmCFl4y3LCLeHm6I0LvvM7P/b22w7kz9lWa/ntu0Iga+jmTiJcdUN1cbjnL5VaRHdJtJSxZit\nlSHZauOHY0EXO/KH2DaeWxMmZYOuUJJLcGEZNoG0yS6KosdXEMtm9uGL9X0AfD4+TarB71/8W+j3\n6cRDPJmE761PijK3L5wg1eCFx4YEpuz2WIhitdBZ/8nFgZnzaV1uMnLmYiotEsf8+IsD/u56+LEv\nFZgLOVb7ch6uVObQNA071vBjX7GYc5rLgtWgb0QT4H+0eoGRBS992st47/k7OG522BheIfUQRWyU\nElqleZp4dNLRBHMxLmwi/mDzH/iTr/xBfm4Kc0CvaK3+JMzFQItomXJR7F8BXHz60/CFL+z+/C5R\n9Nrpj2eA0p/9WXjzmyceyjw75havwQs1Vs8Lxidjm8tWns7NBI8ZiNkatmn6GpTLlDJwYeQ3Xc5c\n+IyDIVUfPCxON4TQF6BUlwZcEvTPLFVHzK9VvQAuZNXIsLdFuyPN0Ebr/PS/SnnrK8VrAmmatTDW\n6eAzHvVxDQcbXZXsLvegPdhgYEO9Iig8XdMnAHEvHlGVfjhNU4KLEbsyF0pzId2cLXM2uEh0Mb/r\n/1KKeuVwWnvwAmhL57yNWJZrtS+p1tBjIoZaxMhIeODyA9zyX2+Z6dqp0huD2bu2bNc9lAK4zFI1\nSwsU9QIxaSEtIia8gVTPZ5a2RUGnb0ov/WA0kRZRmgspbjQS4ZmQ+ScUrYDffscWb3tuD0YjhnsX\nAGg09kwcwz9sfoU7fighviDOV1+PqGgOVatMt30511xoYE8xF1u2OI6N592uHhttrTG04I7KdYAQ\nTk2U413OKy8Iwwnmoit3Oa5Xx5AovDiBhruYaGU9I4bhFdJc4zGBAbblYJslkcopgp6tLbrxkNZP\nwUfn1mjrAXNGhYrMrzaMsqhpl14NGeuVLTbboy1e+1NP432//mrxeRm46HQmmB2AZWuOjhUzjsZo\nv6TxieU+tmbJtMhVMhcSXPhJqABaBi6yap3IgK21M/jRGCfW4OBBASQPH56gcwW4kGkRMwcXxcqV\n8RXTIgF2orE0fwAQws153xAVU2fO0E3H7EvFgjBtEtW+IPpIPP+4TKVdU554Plt0rBjOx0/uc7Et\ntVbZRFkEF7FOLuIdDrl3L7z+MYM3bxyYYC6+5Q3wR08XL6tUxaLjpDp+Eij33zmjwkJJ7DCL4GFT\n2oHPe/PU5wXYutK49O/+R9outA7eRFl36BPwef8Et/8whOurE2lBgPUkt+33wyK4yIHEYGuNIz8C\nD453GpqBMM9aLM3L0yDntm5XlE9m5ycM4bHHhP7jCmJe4liU3Bb+7kimqhJo9KZSlUkS0/vCZ4k7\nk6AmYyicUpmluKT8PjKGtlLK07kLuhhL3WEbVlfZ8rdoxBZoGk4GFgqLp+V48pB8xsEAN9ZZNhrE\neiEtUhcL+rYUjAa7dLfu4VM18zGqwMVwm81+Dn5/o/oAH3yORwqEq4LRWLAbdIxQpEVMd4K52Ds0\nODcSKcNaTczVStj/8Y9Dt0s3HVOVnY2bMr3dGqQ5uFClqFlaRB5DGIqNVQFwuWauuQBRxfiUFnRq\nmnaLpmlf0TRtU9O0/3SV7/kmTdMe1TRtTdO0H7va53aNZpOaDz0pVNpA3Ni9rfxGHRMz1GOGZsoj\n64/wyPojdGYgbD8TZg5n5/Iz7/aBLI9ypUgm85wo7jqK4GIsGRPFXEjmw5T12IZmqJ3TOBor5sKz\nvAJzIY5rITDZDnvK+bGrBwRxQJqm3NsK+dy+CAYDzjfFZW6U5yeO4cvjE9y/DBfPCDq5p4dU9BI1\nuyZ26SdOMDLFQlXUXGjkkHp9mFOy4611RiYslBfYX9knwEVhEU+3txg1ZRlUEEzoKLI6bq/SQM+q\nRQoT6G6aC5UWuSpw4eLYLoEBabEXyfnz/MJLYbOU8HdLXdpmSNOuUU3FMTfMChWnqsopM/ZpvYL9\nhgAAIABJREFUKxCL7nbQ5e7aFvf3ZdOlDFx0uzvARcsWOdWip4GjmdjoE5UaV4pMV+ETKe1PyXAI\n9XRi3K2tn2YUjXATHapVUZ64vIxXFr9h2N8S1sAyDWWbJVWmGyRBnsor6If4wR+Et75V/RkmgrlY\nWsxZse/kRtYqou9ORw/Z64jJu79VAJfA5mVhmHTrGlR8OLo8yY5lmoO9gaPaYl/JaGxbCvIy0Kqq\nRXRrsrPuYEDPgcaLvwXOnJlgLr64Hz4tD6Wale8mk+CiadVoueKYil4XbdknZN6dx1sU4GJ0BUfg\nez72+6Qa3PHcf03FcBloEQ/FF3lwD5zZOKH0MsU4vynO2YTmomAnf6Z7lqML8GV9RhopTRkYCQsZ\nuJBeNfz1X4trKpvdjY4+zFk3EGD3woWdn4PwpvD/4oNw660527K9TVfOXXvHJv2wzzgas//d+/nn\ns//MD/zpd1P7wct868umxKlyPDulCkt2k9WeAKEZuCgXfBkWjAxcbNO74yYuX3icZtbxV3rxlKwi\nuJBpkchnFAwpJTp7SuLaZZ1C7WoDLYWeXH9n+uAgLOFrdl7G6UmtxnDYYVOOA0N+ZpshF6u5nqRl\nNdi2EwZpgGt7WJqh/ED26DXOIq5FvblHfU6kpRz65LfxiT/4adqMmE/EGzK33VYvLoAL2XI9AxeF\ntEhwBeYiC/2pmhbRNM0GPgrcAzwLuEnTtB94kve0gP8J/BnwPOANmqZ905M9d8VwXSqRRl9SZhtS\nvd7dXs2ZCy1maCTEOmzJySKaIaTLdgbj0exdm0qLyIUmQ4NZmsQv0PSRVgQXU2kRWekxkRaRV2Uc\njRVzUbWrueZCulUuxCW2k2Hun2BE7H/3fv726P9kaKasVuBvk8d4wfMFzbjcWJk4hnWZNjp9/hFh\neWwkVPQS1XKDngNf0i5Q/1nx2mLOrhnkJSIbww1qsuPmaP2SKCf16hxu3bgDXLxb/zLef+gL0VsQ\nKN0KQEcu1G65kVeLFMBFuEvfjYwGzKp2ZsZoJMCF7WLbLqkmxGJZrD3xEL8jqxVsP6LtxMw5DSqS\nAm3YNaqlmrJaHkmNS+ZXsTXaYsNNVVnylcDFnCN2O1truf7AsUrYGPhXmxaRQNknVpoL1ywRaZOM\n2ermWUbRGDeZ7BvgleWkONgWzIWclG3LIcyYiySkHsrrUNyBHjumFiGQPVsSndbyIbI5+YUHvxGA\nzYe/QsdO2VcWE2avsyY0BY+KSq3NTQGwWkM4vCFFwIXIFp09VNjSfO4+fTcL/3lhZl8cgO1EXNPs\n3lQmWnZJgIusZHM4pGdDTU7SReZibMIJgSmoOGIhE8xFSPtjwvxtzq6zUBFVWBPMRVcsmvPePO6e\n/QCMdqvISBLuOv4paqnN05fvoGK49PWInvShONk5rQDEga7G9TLzce4JoUfwC9VTvVG+OVodiN9w\njhnzlu8zsKHlZuBCvuYhabl9TDSee+Un3sA1d8JrvgdRVjkj3v3Fd/PMYz8uxnohFdMpgaeXaMQW\n/XDA+mCdC70L3HvxXr52TnjfHK/HE8ZfGYi0vSqLbotVbSiqHOTjXpG5sMQ163bXufH1bT6/L2ZP\nKvvmaGKOKlZD2Iq5GDMOx5RSneWKSJs5smRVMww1P8MVmAszpurkv8WrioEyHHbZHLUxEnjOvudw\n6+Kt4rQu5c3JFrwWsQ4nm7CnvISFcCF2E4OG21SApiZTeoZmMDATnpiDBy8/wAZDZZjVLIn7t9WJ\nFLjQp3uL8ORpEb2wSXwqCzpfCdSAn0jT9BTw88Cbr/wWvhe4kKbpO9M0PQn8cuE9b7jCc1eMSmLS\nH3VJ05QNU/o/9DZUi92xnqgGUhs9cSOGM+joTDtRzPsWQwk65WdNg4txgdKPSSlJ8VBmc5uBkqxq\npCjozMKPfUWDVp1q7tApP3sh9egwVmmR4/WI9eE6p9dPMLREhcJj8SqV2OALb/oCz1z5holjWIsk\nuFh/HIJAGAeZHtXqAl0HPnSLbBoGmGhq8Zgb5jff5nCTuqQKx5fPM7IEoj+8cGRHWuQ+XVCHP/Vy\nZFokv6O7Uiw5kRYpill3AReKubgSuMiYC9vFkZNN8bpeOP8oqQY1rcSGFbFVgjl3joohXtsoNah4\nDVEKNx6rvgxb0q/ibNwmMlBluNNpkSLTM+eKCam9nacIrNufgY2hykCfLEYKXBSYC7NEqOdpEYDV\n7QuM4hngQu64RqPeTubCQEzsaUhNpoXGxXtge3vCijtMhAmXsbhEaygYiNsOPR+AjX/6B7oO7JOW\nxf3OhrDFfv7zIU3ZlB4Fc1aN69pwojp5H2Zs4x6ryZYZcmzzGF2/m7vHTkUmyMvcc1VaxPaIdUg7\nHU5tnSLp9+g6UHUnlfmxP5rQflTkLtWRwG/r938TEJP7QlMwE+uDnA7f7Ivd67w7j9cQ9PZwe6eL\nJwDHjnFXq883zj0DQzeUlXRWTn5ifEEJmv/sC8t89o/E286dk4235FjTkylwMRYo5JyxU4OUdDuM\nLKh5Tew4d9NNH36I43OIVAhwbiDG5sOL7AouvnzhyzyirYtzlY2HzU26DtTtKhVsetFQ2QKc65zj\nXLDO/FAaf/XzMZWJ7R23ypI9J8q2gyBPi3i5GGfBFv9e71zkUhV++p/hl9u3ifdLdrVUEIAW0yKj\neIybmuxpCuBXdB12CwKHrM/JRMQxPSulWgA6XkWCi3GXzWCbZmjyN6/5G+56411U9BIPLuUpn4Xa\nsjqnB5oHVTsFD4u6TIUA1BfEBlDXdbI93Pr2RQEu5JhrSga6tR3kzAWTzMWE5kIHy8zTIhm4cPX8\nMf0p3LjsNuBLaSo6y6Rp+iBw05O853bgs4W/vwI8o/B5088982p+SCW16AU9huFQeTn0eptKBDk0\nElU+uX5a7KDC0c4bMUtHTFDChVAOnXJhd+WAzmy1xwXmItZSld/LIvttGcVuWDlzoV4TB+p3VE5d\nUJqLQO7cWnadjhGptMixOfGZg+E2QwvGFhzTt9gfujxv5Xk45fzGAFhLxbGd7pwB3xfld6ZHrTJP\nzzNFrb4Moz8ks8aY6xc6pqYxddlxc7x2kZEJbnWOw60jHJ8X3U6zsMfi97//GdAZbU2kOrpyUvXs\nMrosRS1qYYriz2IocDHdu+L8eaUZSYdCMGg7HrZUjxcrbjZWBdV82N7LhRoMbJgrL1CxxY3b8JpU\nynMiXbW1lTcgk42UTtQlUEymBJ2SuVgu5ZPHvCco2fZGnha5MF4T4OJq0yJyR+trca65MMXuvMj2\nrPYvMYp93IKpEBRyxaOOcO+TE4tlyTLdIMBPI+rSdnns93nwv/w80frqDnARJCF2qkOzydJAMBAL\nh8Rkv/74fQJcXCv+7g/a4pp0OtDrsdlbxYs0St/zWsq2x3iqmVYGLpYqS2w7qcpr79bZOMuZK+Yi\nAxdygemtn+fIb13H333pT+g5UJWLVuYpkAHODFArcJEaBLHo8+GG4H7la3gL+yiFsN7Or+PmqI2O\nRr1Ux5XneLSLZssfdPnCCrx4z3PVd/XNhJ4cxyejNSVoXrEX2KfXaQ3g3JrQOPiRj5lALdSE5kKK\nrzOX1HNeuMN+fLQhQEO5OocXGwpc/IbxJQ6/FdYfF6zIIBqyFNicaUDyxAx/kfe9j6PHPg/AXQeZ\nABcdB2pOjYrm0E/GytDwkfVH6OkhN3cduo4AeupcSBDleFWW3JYo2+7387SIBMMATbuBnsIZX2wM\nX3AW6jXBImUVbcWunxnjGsYB43hMCZPlBZH3mmjmleRLYVCcqh9+GN7yFuj1BNvl5b/Fk+ma4bhH\nO+wxH9vsqexhzp3jVu9aHlqEQK4fC3MC0HRLsLJ4vbrnPKwJLVytJQCEUVjs17qXhPB3WWjZmhUx\nn7SGwDWiBXuWFlE+F1PMhV1IFWXgwiuCi6ew/XcNODX1WKRpWv1/4T1dYO9VPHfFECWDwwm6sjfY\nysFFQZe4flHkyKP2Tuoy61A5njZn+r3fg1e8QnlEKHAhF62hzMtPMBdaqpTM0zGUdIDSXBj568Zp\nqNIz5e6ooLkQE1CrskjXyX9DVu44HPfUY/dV+uyLxc3mSNFpRa59WSnd6dFlGI9FsyarTNWpcs/e\nlDMNlPWu0e1jyAZX81OsdF1ShaONywwt8Mp1DrcOExpwapzv0LcYq/bJ3VFnwmejKydV13Jzh86i\nmHW3tIgCF1O5+Fe9Sjk+RpKatEtlbHkOimK5DSkAPuwdEDs4YK66QFXWnDfKLSq1eQY2ROurBBm4\n0ORCIOebURoIujeb1CW4WJE0rJZCXe462oV23Q9cfgAbc9cSuOnIypd9LVEg17U8Qh1GckFa7mus\nDtcZJQElppgLT2ouRl3JXMi0iNSjMB4TpBE1WXbXbl/gmRu/xof//B0c19qcSvIcf8ZcYBg8fcvm\nhZctWsuCqThTF2r0xdpejFSjP+qqhlOsrrI53GA+suH3fx/rlttF479CZGzjUnM/sQ5nvib2G+NZ\nVQ5hqFJQClzI3VtWMrh+/H58LeGJB+8mNKBWzsr+BLiYvterWVoEAz8c03YRlQn/6T+hLS6yMIQN\nmdphNGKTIU29jK7puFWZetqlIuN49xQjC54zL4BX2S4zsnL25YS2rVIfzuIyvOQlrAwMzsnOs340\nxkl0qpFB9wufFXbXoFxSz9Xgsfs+xdmLj6nvHJwXU6rXWsbTLIar5zn1xFf5pWf2SXQ4dUGwIn1C\nbmGR0IBL5wpmg+fOQRwT/9F/5/FA3NcKXCSJYi5qXoOq7tJP8wqbL57/IgA32/uJDBgXGB2VFinX\nWPAWhJvtYKDm7IpkCED0xqklFmdTMY6az3sJvFKUZjgSSJTsAnMhhfJhFDCOA1zNYk9TsANOQUdW\nZPcmTPbuvhve+178M0+I8uRqbsiidHZ+n82krzqUAtxWOcSDS/nGtbV0rXpuZe9hdc95mk19Yb96\nru6KcVNksE9WBEBoHRT79UPz11Efw/UdA17+cqDIXIhQ4EIakWU9VgDlOlsEF0/llusRMD37+4A3\n47W7vWdceP2s5yYlrjPizjvv5P6/HfBPH17l+179ffAB4CHoDrfUbr8Y67JJTjhDDZ91xptWbPPI\nI3DsmFoYB3J8OtlAk0xEcQcZa5OWtMUYybRKUXOhfoMpBKVOouOEeTokW2hbzX10SnnPiiwGo64C\nFw83AvYic5ISsbbGYiCuy7TR6WRTMRdVq8JtS7fRsWKu3YL/e/lVAKRlD12qyeemTmVD+mcM2pcJ\nTLHQHWwcBOBskAO3tuGzFzFhj4PBhENnl9yMTGkuiu6kswSdaaoaUmXpKEDYln/ta/CP/yhurqzq\nwHZxZEfACeaiexkn0bnG28tlqR1r1vcoOrZRW6BaXyTVYON8rjfYMiSQlOd6RDhZhSLTIgeqYjLz\nYh23Ij6zvZ2LG3/0OT+Ko109uMh2tL6WqPScY7nCrTEcoiew7Fts+tuM0xCXyQHiSZZtOO4RamkB\nXJQUuPCJqcu00HrvMpEBF9tn+dGX+vz4c3JwEaQhtgTO/+O+a3nPmSN4dplSaipjrDl3jkpi0gv7\nbPTX+NTTgNVV2v4286kYk6Zu7QAXmeZgz5zYnZ24JBpP+e0ZqYbLl3eCC3mPluV13JLukWck4K1W\nck+BWEsn9CpGgjLQcjDxwxFtF+ZaB4SodWFBNC+TIk4uXWLThXmpqfFkpclo2OUTJz6hROMXexe5\n+/TdKu1aluxYRQL0zOX0pDNUc0jpPb8N73sfK1GZs7LXjR8HOIlGbZwKIaJ0A13VxDGcq8NNf/9t\nPON3b1XHtH1RpDhqS9cIr5PV8/zWJ39ZCXfPbT5BmiQMzISbDQGIT68dFymMV71K9NH5sz/j9Nox\nAgNuXpPgYm0NlpbgT/6ETtmg7japmB49LVBpkSyVddMe8Xt6BcfRTKDueDVq5aaolutuKZ1cuZYL\n0QW4sDlTFYtn4xd+BV77WnGeDDEAil0/M/OoMPIF0NbsXHPh5Uxukd0Li4Jvmb7pnhDAq1rPWUhT\nN0V6KRiwyZB5LV/ubigf4IlmPs8s7LtePbfSuEY1EvM0m/qSGN9Gkt+bRebiMXkftQ7dIt4/dy3b\nvw4H3/LTonyeJ2Eu9Elw8ecf+nP0D+ps/klXrJEfgD/9y7yD9tcrvl7gog0sTD1WBXaXdu98T/H1\nV3pu13jPe97Dt3z3Aa7/Doef/52fgdcDt0LP76jS0mKsx2LRCWfoKlRDrmlw0e1CFBFleV1dlMpl\nF28muCC9ArgQ/zclbTWRFjGFx4ATCSfBbKAG0lCqtXiQkSVymKUCxTf08/begQn7JIFk6iZaCguR\n+K2RzC2eNvowHou0iF3h33/Dvycd/TRP/BZ8w7PEjujYNxwiY63npRbyWk9QeOVSFSOBrZ502TRd\nhY4V45CmtK2IfaaY0EfhcJK5QNC8lmEpcDFpfT7j8sex8i8YFofHR0SjIAYD+NKXVL28XfKwM3BR\nMCHaGG3SwmOhvKgem2vupbL3IACNhQNUmsL9de1iDi6KfhUgRbpF/4yMuaiLMk03NRS42OoL0HXh\nDfdx5/PuxNbMXevrpyMTNPq6YC7MOBdsDYIBpVijjM0gGDBKQ1xtsoxYgQu/L5saZeDCE2LX4YCA\nmJrU0mwMRR5/c+sClytwviK0J4A04ZIXYXERrr0WTdNomVW+KrnGg42DVFObfjDgj4yH+PbXQ3zp\nAptRj3mp/rd0k1CfBhfiOPfsEXTwCdmsaWZ5+IULilHKAFcGLjKNydaq2PWfTcRuOtuFKuaioFep\nJIaasB3NxI99ocWRIlAWFkTzsqwE8eJF2m6e9sq8E/qjbb79A9/OBx/+IADP/s2bePEfv1g5qxrS\n9r8iy4MvmVLQWQ3VdXaW9sH8PCtGk3OJbK4VB4K5GMbcdRA+1lyDNGXN8DFSTW04Nu38Hju/KsDV\n/j034FXnGJgpHznzSV73qE5JszhnDhlfOkuqwc2O2E2fXn9cNFH85CfF9f3MZziKGA9veBDONKB/\n7CFhWf6P/8hW1RQaJcujr0cTfZ70BA7fLHT5WUO7/37ff6fti+vheFUqMu0w6G4WwEXOFji2Rw2H\nM1KG0WwdyJ+zMnCRV5dMMBdpSEm3Wa4KcGHfnAOvkgTgGb4NsypB6SrcOSVE8c25fRTDi3UBLnRf\njWUQPZLGJoTyGBYWCsxFfUWlZDyjRH2/YPpqUT7m9AJz0ZaYpSV1Gzz72fDnfw6/9EvqNTs0FzsE\nnXla5HWvex3VN1a5/gf3iTXy9fADr30xX+/4eoGLe4DnZ39omnYtYCNAwlW9B6G3uHAVz10xKlaZ\nnhYoqntvVzR98WeBC01c+HCwU1eReQ4UvRYAAS7CcGJhNFNNXbyskqCYF461VLQBnhHZJGDaMi1S\nZC4M8AcdSmGCHecDNWtzvbBP2OV2SrBk5bnAQZCDC4C9hrgTNU3DiTUW9LycSk/grBsQjQaslqEl\nJ0ee+1w4cICX3vwd3L50O6+7/Q0KXLxktcTrHoK9nlhwHadMKYK2TEV5locpjyPKwEW/z1YJ9rmy\n10kwnBR0mgmepCazCXdcSHVE006H3/u98IEPqMqaYVGv8OEPw7d+K8zNwac/rQzU7FJZ5d8VI5Wm\nbIRdWmaNVrUALub3U9kvcrON+hKVOZEXXV/L/QO27EkwMNLimeBiqb4XM9XwsJTVcFaplLkD2ppJ\nMKOZ3KwYK3CREiUhZpIzX72wj5volLEYJGNGhLhTHiVKfOwPiIrMhTw3wbCHr8WiHj9GTf6bPdGY\n61IVlWcP0kiV9PHud8Ov/RoA86U5virnwgP1AyIHH49YS3oEJly8dJxNRszL0lzLsAiLXhQUmIu9\nYpyfrUjgPtjpeTE8n2dRdzAXUv+wtSnmhHNyAc/BhWAuRgU2q5LkN5CjWfhSc9GUzATz86J5WdZm\n/sIFNj2Yq4l7QqtUhCZjuEGcxmqRzbrVxpKJM+R1q0hx6SU7oDnW8E14QjIsGVBf8fYooaYfBzip\nwSuufRln5g1+4qWi7HzVCbmpsC+7fSvfsZ5ri3O0v7afI/uezp/ernHG9fnXT/s2Vsp7OVeTQAFY\ncheYL81xem9ZiHB/7Mfgm74J/vZvOdqCcgA3SQKp/4S0OU9TVisaS+UlqnaVvh6rxmIAywONuRuE\nL063u85qf5U3ffRNfGTwNUDoIyqyAqPXWVdpkVK5ruYexylT00uck6RDs1Be78g5uNj1M2MAwjgQ\n94LhsKci7mWn6P0gF/uK3K1kQkzVw+Ss2FQ0WnkKAxDalXBE2wyZs3MmxLFKIv0jx9RcdREtBTMR\n58eSujLPKKmGm7U0H3PFtEgWam7WdXj1q8HM1wpViiqZ3CgDGf6IVBOsZDFeffOreVE9B1f6jO/7\nP42vF7j4HFAtlJ/+HPDpNE1TTdOqmjZzZf0o8HxN016qaZoFvA345FU8d8Wolmr09YiNrQu4ISwN\noBv0FQ1ZjA1LLFhRVpb4mteImyhN8WWJ6DRzcW9ynvfe2J8oo7RSDVMKMrNFfRJc5GVS0yFlDEpz\nYU4xF/7GqmAu4ny3nR3LfAG1L5VydL813laLLqDYAhA3XvPGp6vKjxs2hY/FPRe+Qt+Bww2xS+S7\nvgvOnKHiVLn/h+/ncOuwEnS+1LuZD/w1SpPguBVKEWyZuedHDi4kKNjaou3CXlmWOAqGREmodgqd\nEripeI9KixRaH+9gLu66C7785Zy50CLlKPib5r187YWHhGnUZz+r1Oh2qYwjJx7lcrq1xYYd0XLn\n850B0JzfT1U2EWqUGlRdsaisFfwpgqlRPbTINQWIXUSnBI3KPDW3gbu4D1dSvNmCnf1tayb+LiVw\n05FVpfhGShRHgvFR4GJAKdEpazbDxGekRROqcBALuZVoDMMBoZaoa5V5AgSjHoGW4Bg2pQg2I0Fp\nb/pbbHiiCinZkinFgn04z3oW3CTywq3Fg/Qd2FPZg2u5VIwSvXRMW/bjOL12jE0zUNUzyouiYNqU\nbQiWGmJCz+6VWaZem088ov49zVyUpTAzc1E8WxODTmkuZNfUogi7OgEuTHwDkRbx5GJmWbRim/VA\nXMdffOIP+eIKzFcFuKBcxgtFF1WArj/JtmRgOQOFWQpurZRwpC8WglOji9hxXia4t3GAjp0wCkf4\nSYCDwTt+/lP84qE3cbEK6alTrJbhWdUb1fc0KICL/kUWAgvXcvn1l/06gaVTD3S+6Vf+Byv1Fc7V\nYXD5nPz5DQ42r+Wul13H237oGuKfehvccgtsbnK0BTeGdarSOXNw5jjveLHQeay6MUvlJSpOjb6V\nsL11CVtOlSuhp0otu70N1YV5Le5iR2KBzABfv99W96jtVrDksHAcj5rhCYF2rE0YQjlS91YqdP3U\nNE3MnXHImIiS4bDgLaBrurJ2h7xyIrvumfX86fFlfvUbYfvyaXE+56eYi8RgGI/YtGPmnXyDlwnH\n+4HoZmqUXGqRwb6kjKEbKl3jmS6NOUHx1Qtdqw1955I5783veEwdp2QupktRszUjs0HP4r3f8V5e\nMZ93CyyWpX694usCLtI0jYEfAn5X07R14DuAn5JPP4goVZ1+zyZwJ/D3wGXgBuBXn+y5J4uKW6dv\nJGx0LtEaQjXQ6EWDmeAiW4BVWuSuu+C3fgve9S7lOTCe0mp8qH6O//isEVGBubASDVPuLhS4KFD6\nsZZSmmr8NR0qLWJMgYvViziR6IEQSiFnGAUYCTTdfDAvZZMasDHVCnqfk+9kHNujWl/AlTf8szti\ngvir4x8F4PD8jewWavewT+QIs1I+x3JxIzH5wjRzIUDBaPMyIwv21WX9fzQiTiKV790qQQVxs2fV\nIn4Squ/c0aMhiqDfVxa5w3gML3gBHD3KO75hxH80viByxBsbytHUdivYUknu/9ffFiK48+fZ9KBV\nXaLVEDd5OQCn2lDVAo1S/u+13i7dXpEpLqnax/NEO2wN6qUmVaeG65Qp1WUpqnSPzUS2Vc2hM5Vm\n2RHr6/DGN+bVIgZESYiR5g6vvVgYBXmawyANGGkxrrHTNMeLdYbhUGgu5NicZC4SbLNEKdFpZyW3\nzhhfmqplbpQBsSqrK0a2y8q0N02zSlv32URcizMXHxMaBTluLdMWzEWhW20mZl6q5GMbpHPnb/5m\n3mwO2DyTCxenmQtP6hq2BmKhz3Q1GXg0dNEssGhaVSx/dHQL35TgopyD+AWtykbcI0oi3ul/imXf\n5tU3S5dW28aNYE3qujqP3jdxDNlvVGkRqf9I9DyNuR5uC3dVGYuL4lyub5xR4AJg39xBBjZ0H3+Q\n1Qrc1roJWTgzweidCzdYScQxH2wc5H3f9X7e+a3/GbvaYKV5UDAXsv9LpdzkYOMgn966l3ftO8Pn\ne48IcAE8smxw5MiLKP/kzwFwaeM0v/Ri+JsjsGFFLFWWqHh1+ha0ty5yRJI7K9a8AnTdQZuBLKFd\nD7dFh1KgIssy+/22SqnaboWMJHRKZZWua0am2rFDLuQsFbQUIDZ/YRww1mJKlouhGyyWFyeYi5IE\nGlU5BwXtDfB9PsEJfvGlcHFbgK6GNzfx2R4m/WhEu5ROLP7Zfd0PBwIY2Tb1xhIr+0XfkayKxbNc\nalJvUyt4aBhTAsuKXZlpfpVFzlxIcCE3KtmaYdk731sEMNpTmLkgTdOPAU8Dvh84kqbpMfn4tWma\nfnSX97wXARxeD9yWpun61Tx3paiUm/Rt2Ni+yPwQanqJXjIiiGdXG4BU9EYRrK/zh3fA79z/XtXn\nYTqdMozHRJoowczCRM81FzPBxWTjL2sG+62qRaYEneONS5QyzYX8LUEcYKf6xGAsOiRmu6mMFdjr\n5uCiZJaolGrKNOa2dJH5IXxg+3PYERycm+w/UowsJW6vHATynZ9jOGIRkuDCNd0d4GJrXdyc++bE\ne0fhiDiOMVMwY5FXbOjexDkYp6GqP9+RFglD6Pdz5kKe9/j4MTol+Hv/EcYlUxhoZWrQ9JK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4pLqUfVqdG1EtGIKZUXNDEm7F5DfyzAxbXSK95IVWc8f9TjckU0/aHbVeAiKix2Frqq9sgiK6PM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\nCIkixoUgCIIgCIny/wN9tjxNBDhAnAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e78e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import linear_model\n",
    "\n",
    "clf = linear_model.LinearRegression()\n",
    "\n",
    "clf.fit(pcaFitData,retmat[:,0])\n",
    "corr = clf.coef_\n",
    "fits = np.mat(pcaFitData)*corr.T\n",
    "\n",
    "plt.close()\n",
    "plt.plot(fits.tolist(),'r')\n",
    "plt.plot(retmat[:,0].tolist(),'g')\n",
    "plt.legend(['PCA regression result','RB0000'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. 焦炭合约资金曲线减去3阶主成分后的残差图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.42880117 -0.6969632  -0.33737795 -0.46534715]\n",
      " [-0.49757718  0.71072242 -0.35376073 -0.34949097]\n",
      " [ 0.35519901 -0.02042092 -0.87221663  0.33564089]]\n",
      "[-0.55761983070416032, 1.0620341127078325, -0.010880842481880371, -0.49265944752644331]\n"
     ]
    },
    {
     "data": {
      "image/png": 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O5LTJNHuaqWisIMJE0OJp4XDNYVrbW2lsazz+uXXYDurb6qlvrcfT4WFiykSaPc1UNVdR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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc858ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用的主成分数量\n",
    "num = 3\n",
    "\n",
    "# 计算回报曲线\n",
    "capList = []\n",
    "for i in xrange(4):    \n",
    "    cap = np.cumsum(retmat[:,i])+1\n",
    "    cap = cap.tolist()[0]\n",
    "    capList.append(cap)\n",
    "capMat = np.mat(capList)\n",
    "featVal, featVec = pca(retmat,3)\n",
    "\n",
    "print featVec\n",
    "\n",
    "# 计算各个主成分大小\n",
    "pcaList = []\n",
    "for i in xrange(3):   \n",
    "    pca0 = featVec[i,:]*capMat\n",
    "    pca0 = pca0.tolist()[0]\n",
    "    pcaList.append(pca0)\n",
    "pcaMat = np.mat(pcaList)\n",
    "    \n",
    "# 计算主成分在各个合约价格上的表示   \n",
    "fitList = []\n",
    "for i in xrange(4): \n",
    "    fit0 = featVec[0:num,i].T*pcaMat[0:num]\n",
    "    fit0 = fit0.tolist()[0]\n",
    "    fitList.append(fit0)\n",
    "    \n",
    "# 计算残差\n",
    "errList = []\n",
    "for i in xrange(4): \n",
    "    err = np.array(capList[i])-np.array(fitList[i])\n",
    "    errList.append(err)\n",
    "index = 0\n",
    "factor =[0]*4\n",
    "for i in xrange(num):\n",
    "    for j in xrange(4):\n",
    "        factor[j] +=  featVec[i,index]*featVec[i,j]\n",
    "print list([-factor[0],(1-factor[1]),-factor[2],-factor[3]])\n",
    "\n",
    "err0 = -factor[0]*np.array(capList[0])+(1-factor[1])*np.array(capList[1])-factor[2]*np.array(capList[2])-factor[3]*np.array(capList[3])\n",
    "plt.close()\n",
    "#plt.plot(capList[0],'g')\n",
    "#plt.plot(fitList[0],'r')\n",
    "plt.plot(errList[1],'g')\n",
    "plt.plot(err0,'r')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.  对残差项各个合约的比例近似取整，并用显示残差实际价格图\n",
    ">比例为多10手铁矿价格，空1手螺纹价格，空1手热卷价格，结合合约乘数，就可以计算下单手数\n",
    "\n",
    ">从图可以看到最近3年，这个组合有较好的协整特性\n",
    "\n",
    ">还需要样本外分析，这次没有做"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['HC0000', 'I0000', 'J0000', 'RB0000']\n",
      "2339.47674419\n",
      "1018.47591362\n",
      "442.50166113\n",
      "2520.13787375\n"
     ]
    },
    {
     "data": {
      "image/png": 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RCjjF62rpRDTcfjvw5ZeUAyFOg+BX2GkoKCCBW51ACTURDYKQXYhoAIUPuLfE1q20jDIe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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b4a0d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "universe = ['RB0000','J0000','I0000','HC0000']\n",
    "print sorted(universe)\n",
    "endDate = datetime.now().strftime(\"%Y%m%d\")\n",
    "beginDate = datetime.now() - timedelta(days=900)\n",
    "beginDate = beginDate.strftime(\"%Y%m%d\")\n",
    "\n",
    "fields = ['datetime','open','close']    \n",
    "ticker = [index for index in universe]\n",
    "        \n",
    "pdData = {index:loadHistoryData(DAILY_DB_NAME,index,beginDate,endDate,fields) for index in ticker}\n",
    "\n",
    "plt.close()\n",
    "print pdData['RB0000']['close'].mean()\n",
    "print pdData['J0000']['close'].mean()\n",
    "print pdData['I0000']['close'].mean()\n",
    "print pdData['HC0000']['close'].mean()\n",
    "cap=-pdData['RB0000']['close']+10*pdData['I0000']['close']-pdData['HC0000']['close']\n",
    "cap.plot()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
